3. The cost of carrying one unit in inventory for a specified period of time, usually one year, is referred to as: OA) the material cost and is denoted by C. OB) the fixed ordering cost and is denoted by S. OC) the holding cost and is denoted by H. OD) the purchase price and is denoted by P.
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- Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.3. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $12 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $1 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. a) What is the cost of underestimating demand for each pound? b) What is the overage cost per pound? c) How many pounds of oyster should she order each day? d) What is the stockout risk for this order size?A company incurs an ordering cost of $232 each time it places an order, regardless of the order size. The item's cost is $5, and the annual carrying charge for the item is 30%. If the annual demand for this item is 2,880 and the company's order quantity (Q) is 944, calculate its total annualized cost of inventory. The total annualized inventory costs are $.
- Models of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?Exercise 2: The demand per year (D) for product X is 12,100 units. The costs of placing an order (S) are $4.50. The unit cost (C) of the item is $25.00. The maintenance cost (H) per unit per year is 30% of the item's cost. 1. Use the economic order quantity (EOQ) model to determine: *Optimal quantity to order* The expected number of orders*Optimal time between orders*The total annual cost of maintaining that optimal amountNOTE: Show calculations of how you arrived at each amount 2. Answer, what are the potential benefits of using EOQ analysis for inventory management? How can you help businesses strike a balance between inventory holding costs and ordering costs?A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 920 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order. a.Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.) Period Order Size 1 – 6 months?_____units 7 – 12 months?_____units b.If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.) Period Order Size 1 – 6 months?____ units 7 – 12 months?____…
- Consider that you work at Kroger Grocery store, and that you've been tasked with creating an ABC inventory classification for 6 items. The 6 items, as well as their profit per case and number of cases sold per week, are as follows:Ribeye Steak - $135 in profit per case, 3 cases sold per weekLobster Tail - $245 in profit per case, 3 cases sold per weekPasta - $23 in profit per case, 12 cases sold per weekSalt - $3 in profit per case, 2 cases sold per weekNapkins - $12 in profit per case, 2 cases sold per weekTomato Sauce - $23 in profit per case, 11 cases sold per weekUsing total weekly profits, please classify each products into A, B, or C categories. Which items form the boundary of the class A and B items in your classification, and why? Which items form the boundary of the class B and C items in your classification, and why?XYZ company is determining the inventory policy for product A which has annual demand distributed as Normal (500, 120). The value of each item is $25. The fixed ordering cost per order is $200. The lead time from supplier of an order is stochastic with mean 4 weeks and standard deviation 2 weeks. The company calculates the holding cost by using an interest rate of 25%. a) Determine the (Q, R) values if the company desires to use a Type 1 service level of 98%. b) Determine the (Q, R) values if the company desires to use a Type 2 service level of 95%. c) Determine the (Q, R) values if the company desires to use a shortage cost of $6.74 per unit of unsatisfied demand.Hayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
- The manager of a large electronics store wants to begin stocking a universal TV remote control device. Expected daily demand is 25 units (250 working days a year). The remote controls can be purchased from either supplier A or supplier B. Their price lists are as follows: Supplier A Supplier B Quantity Unit price Quantity Unit price 1-199 $14 1-149 $14.1 200-499 $13.8 150-349 $13.9 500+ $13.6 350+ $13.7 Ordering cost is $40 per order and annual holding cost is 25 percent of unit price. Lead time for either supplier is 10 days. Which supplier should be chosen and what kind of inventory ordering policy should be adopted?The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed?An auto parts supplier sells Hardy-brand batteries to car dealers and auto mechanics. The annual demand is approximately 1,200 batteries. The supplier pays $28 for each battery and estimates that the annual holding cost is 30 percent of the battery’s value. It costs approximately $20 to place an order (managerial and clerical costs). The supplier currently orders 100 batteries per month. a) Determine the ordering, holding, and total inventory costs for the current order quantity. b) Determine the economic order quantity(EOQ). c) How many orders will be placed per year using the EOQ? d) Determine the ordering, holding, and total inventory costs for the EOQ. How has ordering cost changed? Holding cost? Total inventory cost?
